Final answer:
The values that Y1, the number of aces drawn, can take range from 0 to 3 inclusive, as you can draw none or up to three aces in three card draws without replacement from a set of 16 non-number cards.
Step-by-step explanation:
When drawing three cards at random without replacement from a selection of 16 non-number cards (4 aces, 4 kings, 4 queens, 4 jacks), the number of aces drawn, represented by Y1, can indeed have different possible values depending on the outcomes of the draws. Since the drawings are without replacement, once an ace is drawn, there are fewer aces left to be potentially drawn in subsequent picks. Therefore, the variable Y1 can have a minimum value of 0, which occurs when no aces are drawn, and a maximum value of 3, when all three cards drawn are aces.
It is important to note that the maximum number of aces that can be drawn is three because we are only drawing three cards in total. Therefore, Y1 cannot have a value of 4, as that would imply drawing four aces, which is not possible with only three cards being drawn. This information allows us to evaluate the given options and determine that option A is correct: Y1 can take values from 0 to 3, inclusive.